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Evaluate the Following Sin 60° Cos 30° + Cos 60° Sin 30° - CBSE Class 10 - Mathematics

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Question

Evaluate the following

sin 60° cos 30° + cos 60° sin 30°

Solution

sin 60° cos 30° + cos 60° sin 30°    .......(i)

By trigonometric ratios we have,

`sin 60^2 = sqrt3/2  sin 30^@ = 1/2`

`cos 30^@ = sqrt3/2  cos 60^@ = 1/2`

Substituting above values in (i), we get

`sqrt3/2 . sqrt3/2 + 1/2 . 1/2`

`= 3/4 + 1/4 = 4/4 = 1`

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Solution Evaluate the Following Sin 60° Cos 30° + Cos 60° Sin 30° Concept: Trigonometric Ratios.
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